Question

Pre-orders for the year cost $38 eac, while full pricce costs $45 each. If 24 students in mr.hillmans homeroom purchased yearbooks for a total of $975, how many students pre-ordered and how many bought their yearbook at full price ?

Answer 1

Answer:

15 pre-orders and 9 full price

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Step-by-step explanation:

Answer 2

Answer: 15  students pre-ordered and 9  students bought their yearbook at full price.

Step-by-step explanation:

Let x be the number of students pre-ordered \and y be the number of students  bought their yearbook at full price .

As per given , we have

Pre-orders for the year cost $38 each, while full price costs $45 each.

If 24 students in Mr.Hillmans homeroom purchased yearbooks for a total of $975.

i.e. $x+y=24$  ...(i)

$38x+45y=975$  ...(ii)

Multiplying equation (i) by 38 , we get

$38x+38y=912$  ...(iii)

Subtracting (iii) from (ii) , we get

$7y=63\\\Rightarrow y=9$

Put value of y in (i) , we get

$x+9=24\Rightarrow\ x=15$

Hence, 15  students pre-ordered and 9  students bought their yearbook at full price.